Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bn |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.02275337955E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2068079,-290129279] |
[a1,a2,a3,a4,a6] |
j |
238816829348755096256/147039877430420625 |
j-invariant |
L |
3.0135410559791 |
L(r)(E,1)/r! |
Ω |
0.094173157908124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120by2 114240lb1 |
Quadratic twists by: -4 8 |